Let's get this math done. We have 84161 and 42646, and we're going to subtract the second number from the first.

Step 1: We'll start by subtracting the digit 6 and the borrow 0 from 1 in column 1 and get -5.
We add -5 to 10 and get 5 as the first digit of the result.

Step 2: We'll start by subtracting the digit 4 and the borrow 1 from 6 in column 2 and get 1.
1 is the next digit of our result.

Step 3: We'll start by subtracting the digit 6 and the borrow 0 from 1 in column 3 and get -5.
We add -5 to 10 and get 5 as the next digit of the result.

Step 4: We'll start by subtracting the digit 2 and the borrow 1 from 4 in column 4 and get 1.
1 is the next digit of our result.

Step 5: We'll start by subtracting the digit 4 and the borrow 0 from 8 in column 5 and get 4.
4 is the next digit of our result.

So, 84161 - 42646 = 41515.